Acta Mechanica, Год журнала: 2023, Номер 234(12), С. 6315 - 6340
Опубликована: Сен. 20, 2023
Язык: Английский
Acta Mechanica, Год журнала: 2023, Номер 234(12), С. 6315 - 6340
Опубликована: Сен. 20, 2023
Язык: Английский
Journal of Vibration Engineering & Technologies, Год журнала: 2023, Номер 12(1), С. 857 - 876
Опубликована: Фев. 10, 2023
Язык: Английский
Процитировано
17Acta Mechanica, Год журнала: 2024, Номер 235(5), С. 2867 - 2887
Опубликована: Фев. 18, 2024
Язык: Английский
Процитировано
6Journal of Vibration Engineering & Technologies, Год журнала: 2023, Номер 12(3), С. 5147 - 5171
Опубликована: Дек. 11, 2023
Язык: Английский
Процитировано
13Mechanics Based Design of Structures and Machines, Год журнала: 2023, Номер 52(5), С. 2411 - 2439
Опубликована: Март 8, 2023
This article aims to analyze rectangular functionally graded material plates with cutouts of diverse sizes, numbers, and positions for free vibration using Mindlin's first-order shear deformation theory (FSDT). Isoparametric plate elements nine nodes five degrees freedom at each node were used the present finite element formulation. The Poisson ratio is assumed be constant throughout plate. At first, results piled up from formulation compared existing collected various previous journals different isotropic plates. After verification formulation, some new (nondimensional fundamental frequency) obtained considering shapes, cutouts, thickness ratio, aspect FGM power law index, edge conditions. Dynamic analysis interior support along cutout edges an integral part this study.
Язык: Английский
Процитировано
9Journal of Vibration Engineering & Technologies, Год журнала: 2025, Номер 13(1)
Опубликована: Янв. 1, 2025
Язык: Английский
Процитировано
0ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Год журнала: 2024, Номер 104(7)
Опубликована: Май 2, 2024
Abstract In this work, an attention is paid to the prediction of torsional vibration frequencies functionally graded porous nanotubes based on Lam strain gradient elasticity theory. The are formed nanomaterials that vary in radial direction. This study also aims obtain analytical solution model presented by for response, a simple manner, different rigid or restrained boundary conditions. torsion angle nanotube defined infinite Fourier series. Then, Stokes’ transformation applied force conditions desired state. An eigenvalue problem established with help two systems equations obtained. problem, which includes deformable springs at both ends nanotube, appears as general can find frequencies. It shown vibrational responses be significantly influenced through‐radius gradings material, material length scale parameters and consequently predicted giving proper values spring parameters.
Язык: Английский
Процитировано
2Journal of Vibration Engineering & Technologies, Год журнала: 2023, Номер 12(4), С. 5759 - 5770
Опубликована: Дек. 11, 2023
Язык: Английский
Процитировано
5Journal of Vibration Engineering & Technologies, Год журнала: 2023, Номер 12(3), С. 3873 - 3896
Опубликована: Авг. 7, 2023
Язык: Английский
Процитировано
4Journal of Vibration and Control, Год журнала: 2024, Номер unknown
Опубликована: Янв. 24, 2024
This article investigates nonlinear free vibrations of temperature-dependent two-directional functionally graded (TDTDFG) cone-like shells in thermal environment. The structure material is a combination ceramic and metal with mechanical characteristics varying continuously the thickness longitudinal directions. Initially, thermomechanical dynamic equations system are modeled based on first-order shear deformation theory (FSDT) strain-displacement relations von Kármán. Afterward, final governing equation for structure’s transverse motion obtained using Galerkin discretization method. Finally, solved improved Lindstedt-Poincaré method as an analytical technique, resulting calculating frequencies shell. To validate research’s results, calculated under different conditions compared results previous studies. After ensuring accuracy parametric study performed to evaluate effects various parameters linear TDTDFG shell this have demonstrated that gradient indices, geometric ratios, environment significant influence vibration behavior structures.
Язык: Английский
Процитировано
1Defence Technology, Год журнала: 2024, Номер 42, С. 83 - 104
Опубликована: Авг. 30, 2024
At the first time, finite element method was used to model and analyze free vibration transient response of non-uniform thickness bi-directional functionally graded sandwich porous (BFGSP) skew plates. The whole BFGSP skew-plates is placed on a variable visco-elastic foundation (VEF) in hygro-thermal environment subjected blast load. skew-plate permitted vary non-linearly over both length width skew-plate, thereby faithfully representing real behavior structure itself. analysis based four-node planar quadrilateral with eight degrees freedom per node, which approximated using Lagrange Q4 shape function C1 level non-conforming Hermite refined higher-order shear deformation plate theory. forced parameters are fully determined Hamilton's principle Newmark-β direct integration technique. Accuracy calculation program validated by comparing its numerical results those from reputable sources. Furthermore, thorough assessment conducted determine impact various responses skew-plate. findings paper may be development civil military structures situations that prone exceptional forces, such as explosions impacts
Язык: Английский
Процитировано
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